| 一类常微分方程组周期解的研究及应用 |
| |
| 引用本文： | 王长有.一类常微分方程组周期解的研究及应用[J].西南农业大学学报,2007,29(6):28-30. |
| |
| 作者姓名： | 王长有 |
| |
| 作者单位： | 重庆邮电大学应用数学研究所,重庆400065 |
| |
| 基金项目： | 四川省学术和技术带头人培养基金资助项目（1200311）;重庆市教委优秀青年基金资助项目（D2005-37）. |
| |
| 摘 要： | 利用上、下解方法及不动点理论研究了一类反应项非单调的常微分方程组,构造了非单调反应项的上、下控制函数,并证明了所构造的函数满足Lipschitz条件及单调性,获得了此系统周期解存在的充分条件,最后以一个著名的化学模型为例说明了所得结果的意义.
|
| 关 键 词： | 上下解 周期解 常微分方程组 Schauder不动点理论 化学模型 |
| 文章编号： | 1673-9868（2007）06-0028-03 |
| 修稿时间： | 2006-09-19 |
Study and Application of Period Solution for on Ordinary Differential System |
| |
| WANG Chang-you.Study and Application of Period Solution for on Ordinary Differential System[J].Journal of Southwest Agricultural University,2007,29(6):28-30. |
| |
| Authors: | WANG Chang-you |
| |
| Institution: | Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China |
| |
| Abstract: | A kind of differential equations with non-monotone reaction terms are studied with the upperand-lower solution method and Schauder fixed point theorem. The control functions of the non-monotone reaction terms are constructed, which are shown to satisfy a global Lipschitz condition and quasimonotone. The sufficient conditions for the existence of the periodic solution of the system are obtained. Finally, a well-known model in chemistry is given to illustrate the significance of the results obtained. |
| |
| Keywords: | upper and lower solution periodic solution ordinary differential system Schauder fixed point theorem chemical model |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《西南农业大学学报》浏览原始摘要信息 |
| 点击此处可从《西南农业大学学报》下载免费的PDF全文 |
